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CRYSTAL ISOMORPHISMS AND WALL CROSSING MAPS FOR RATIONAL CHEREDNIK ALGEBRAS

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Abstract

We show that the wall crossing bijections between simples of the category of the rational Cherednik algebras reduce to particular crystal isomorphisms which can be computed by a simple combinatorial procedure on multipartitions of fixed rank.

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Authors and Affiliations

  1. Université de Reims Champagne-Ardennes, UFR Sciences exactes et naturelles, Moulin de la Housse, 51100, Reims, France

    N. JACON

  2. Université François Rabelais, Faculté des Sciences et Techniques, Parc de Grandmont, 37200, Tours, France

    C. LECOUVEY

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  1. N. JACON
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  2. C. LECOUVEY
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Correspondence to N. JACON.

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JACON, N., LECOUVEY, C. CRYSTAL ISOMORPHISMS AND WALL CROSSING MAPS FOR RATIONAL CHEREDNIK ALGEBRAS. Transformation Groups 23, 101–117 (2018). https://doi.org/10.1007/s00031-016-9402-9

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  • DOI: https://doi.org/10.1007/s00031-016-9402-9

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